THE DIRICHLET PROBLEM FOR POSSIBLY SINGULAR ELLIPTIC EQUATIONS WITH DEGENERATE COERCIVITY

被引：5

作者：

Durastanti, Riccardo ^{[1
]}

Oliva, Francescantonio ^{[2
]}

机构：

[1] Univ Napoli Federico II, Dipartimento Matemat & Applicazioni R Caccioppoli, Via Cintia, I-80126 Naples, Italy

[2] Sapienza Univ Roma, Dipartimento Sci Base & Applicate Ingn, Via Antonio Scarpa 16, I-00161 Rome, Italy

来源：

ADVANCES IN DIFFERENTIAL EQUATIONS | 2024年 / 29卷 / 5-6期

关键词：

EXISTENCE; GROWTH;

D O I：

10.57262/ade029-0506-339

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We deal with existence, uniqueness and regularity of non-negative solutions to a Dirichlet problem for equations as -div (|del u|(p-2)del u/(1 + u)(theta(p-1))) = h(u)f in Omega, where Omega is an open bounded subset of R-N (N >= 2), p > 1, theta >= 0, f >= 0 belongs to a suitable Lebesgue space and h is a continuous, nonnegative function which may blow up at zero and it is bounded at infinity.

引用

页码：339 / 388

页数：50

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